Question

The length of side X is 36.25 cm to the nearest hundredth of a centimeter what is the length of y

Answer 1

The length of y is 62.82 cm.

Explanation:

We are given a right triangle with an angle 30°.

Opposite side of angle 30° is x and adjacent side is y.

Also, given length of side x=36.25 cm.

In order to find the value of y, we need to apply tangent trigonometrical ratio.

We know,

`tan \theta =(Opposite \ Side)/(Adjacent \ Side)`

Therefore,

`tan \theta =(x)/(y)`

Plugging values of
`\theta =30^o` and x=36.25, we get

`tan 30^o=(36.25)/(y)`

Plugging value of
`tan 30^o=0.577` in above equation, we get

`0.577=(36.25)/(y)`

On multiplying both sides by y, we get

`0.577* y=(36.25)/(y)* y`

0.577y=36.25

Dividing both sides by 0.577, we get

`(0.577y)/(0.577) =(36.25)/(0.577)`

y=62.82

Therefore, the length of y is 62.82 cm.